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Finding the Fourth Proportional to 1,506.56, 2,259.48 and 726.08

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Solution

The fourth proportional to 1,506.56, 2,259.48 and 726.08 is: 1,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.56 : 2,259.48 = 726.08 : x
  2. Step 2: Convert to fraction form
    1,506.56/2,259.48 = 726.08/x
  3. Step 3: Cross multiply
    1,506.56x = 2,259.48 × 726.08
  4. Step 4: Simplify right side
    1,506.56x = 1,640,563.24
  5. Step 5: Solve for x
    x = 1,640,563.24/1,506.56
  6. Step 6: Final answer
    x = 1,088.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.